Entanglement dynamics of many-body quantum states with evolving system conditions

• URL: http://arxiv.org/abs/2503.01989v1
• Date: Mon, 03 Mar 2025 19:07:01 GMT
• Title: Entanglement dynamics of many-body quantum states with evolving system conditions
• Authors: Devanshu Shekhar, Pragya Shukla,
• Abstract summary: entanglement analysis of a pure state of a many-body quantum system requires a prior information about its density matrix/ state matrix.<n>We consider physical Hamiltonians that can be modelled by a multiparametric Gaussian ensembles.<n>We theoretically derive the state ensembles for its eigenstates and analyze the effect of varying system conditions on its entanglement statistics.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The entanglement analysis of a pure state of a many-body quantum system requires a prior information about its density matrix/ state matrix, obtained in principle by solving the Hamiltonian matrix. The missing information due to complexity of the many-body interactions however renders it necessary to consider an ensemble of Hamiltonians and thereby an ensemble of pure states. This in turn leaves a statistical description of the entanglement measures as the only option. We consider physical Hamiltonians that can be modelled by a multiparametric Gaussian ensembles, theoretically derive the state ensembles for its eigenstates and analyze the effect of varying system conditions on its entanglement statistics. Our approach leads to a single parametric based common mathematical formulation for the evolution of the statistics of different state ensembles. The parameter turns out to be a single functional of the system parameters and thereby reveals a deep web of connection underlying different quantum states.

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